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Simplifying 3 + -7a = -1(1 + 6a) 3 + -7a = (1 * -1 + 6a * -1) 3 + -7a = (-1 + -6a) Solving 3 + -7a = -1 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. 3 + -7a + 6a = -1 + -6a + 6a Combine like terms: -7a + 6a = -1a 3 + -1a = -1 + -6a + 6a Combine like terms: -6a + 6a = 0 3 + -1a = -1 + 0 3 + -1a = -1 Add '-3' to each side of the equation. 3 + -3 + -1a = -1 + -3 Combine like terms: 3 + -3 = 0 0 + -1a = -1 + -3 -1a = -1 + -3 Combine like terms: -1 + -3 = -4 -1a = -4 Divide each side by '-1'. a = 4 Simplifying a = 4
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